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We extend the generalized approximate message passing (G-AMP) approach, originally proposed for high-dimensional generalized-linear regression in the context of compressive sensing, to the generalized-bilinear case, which enables its…

Information Theory · Computer Science 2015-06-17 Jason T. Parker , Philip Schniter , Volkan Cevher

In this paper, we extend the bilinear generalized approximate message passing (BiG-AMP) approach, originally proposed for high-dimensional generalized bilinear regression, to the multi-layer case for the handling of cascaded problem such as…

Information Theory · Computer Science 2021-09-08 Qiuyun Zou , Haochuan Zhang , Hongwen Yang

Despite recent advances in achieving fair representations and predictions through regularization, adversarial debiasing, and contrastive learning in graph neural networks (GNNs), the working mechanism (i.e., message passing) behind GNNs…

Machine Learning · Computer Science 2022-02-10 Zhimeng Jiang , Xiaotian Han , Chao Fan , Zirui Liu , Na Zou , Ali Mostafavi , Xia Hu

The goal of hyperspectral unmixing is to decompose an electromagnetic spectral dataset measured over M spectral bands and T pixels into N constituent material spectra (or "end-members") with corresponding spatial abundances. In this paper,…

Information Theory · Computer Science 2015-08-05 Jeremy Vila , Philip Schniter , Joseph Meola

We introduce Reactive Message Passing (RMP) as a framework for executing schedule-free, robust and scalable message passing-based inference in a factor graph representation of a probabilistic model. RMP is based on the reactive programming…

Machine Learning · Computer Science 2021-12-28 Dmitry Bagaev , Bert de Vries

Parametric message passing (MP) is a promising technique that provides reliable marginal probability distributions for distributed cooperative positioning (DCP) based on factor graphs (FG), while maintaining minimal computational…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Yue Cao , Shaoshi Yang , Zhiyong Feng

Decentralized baseband processing (DBP) architecture, which partitions the base station antennas into multiple antenna clusters, has been recently proposed to alleviate the excessively high interconnect bandwidth, chip input/output data…

Signal Processing · Electrical Eng. & Systems 2021-05-25 Zhenyu Zhang , Yuanyuan Dong , Keping Long , Xiyuan Wang , Xiaoming Dai

We show how the notion of message passing can be used to streamline the algebra and computer coding for fast approximate inference in large Bayesian semiparametric regression models. In particular, this approach is amenable to handling…

Methodology · Statistics 2016-04-07 M. P. Wand

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis

The effects of different parametrizations on the convergence of Bayesian computational algorithms for hierarchical models are well explored. Techniques such as centering, noncentering and partial noncentering can be used to accelerate…

Computation · Statistics 2015-03-20 Linda S. L. Tan , David J. Nott

In this letter, we present a unified Bayesian inference framework for generalized linear models (GLM) which iteratively reduces the GLM problem to a sequence of standard linear model (SLM) problems. This framework provides new perspectives…

Information Theory · Computer Science 2018-03-14 Xiangming Meng , Sheng Wu , Jiang Zhu

In recent studies, neural message passing has proved to be an effective way to design graph neural networks (GNNs), which have achieved state-of-the-art performance in many graph-based tasks. However, current neural-message passing…

Machine Learning · Computer Science 2021-04-21 Wentao Zhang , Yu Shen , Zheyu Lin , Yang Li , Xiaosen Li , Wen Ouyang , Yangyu Tao , Zhi Yang , Bin Cui

Graph neural network (GNN) and label propagation algorithm (LPA) are both message passing algorithms, which have achieved superior performance in semi-supervised classification. GNN performs feature propagation by a neural network to make…

Machine Learning · Computer Science 2021-05-12 Yunsheng Shi , Zhengjie Huang , Shikun Feng , Hui Zhong , Wenjin Wang , Yu Sun

This paper introduces a novel message-passing (MP) framework for the collaborative filtering (CF) problem associated with recommender systems. We model the movie-rating prediction problem popularized by the Netflix Prize, using a…

Information Theory · Computer Science 2010-04-08 Byung-Hak Kim , Arvind Yedla , Henry D. Pfister

In this article, we present a visual introduction to Gaussian Belief Propagation (GBP), an approximate probabilistic inference algorithm that operates by passing messages between the nodes of arbitrarily structured factor graphs. A special…

Artificial Intelligence · Computer Science 2021-07-07 Joseph Ortiz , Talfan Evans , Andrew J. Davison

Low complexity decoding algorithms are necessary to meet data rate requirements in excess of 1 Tbps. In this paper, we study one and two bit message passing algorithms for belief propagation decoding of low-density parity-check (LDPC) codes…

Information Theory · Computer Science 2019-10-21 Fabian Steiner , Emna Ben Yacoub , Balazs Matuz , Gianluigi Liva , Alexandre Graell i Amat

Matrix factorization is a common machine learning technique for recommender systems. Despite its high prediction accuracy, the Bayesian Probabilistic Matrix Factorization algorithm (BPMF) has not been widely used on large scale data because…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-12 Tom Vander Aa , Imen Chakroun , Tom Haber

The capacity of bandlimited direct-detection channels is challenging to compute or approach due to the receiver non-linearity. A generalized vector approximate message passing (GVAMP) detector is designed to achieve high rates at a…

Information Theory · Computer Science 2026-03-31 Daniel Plabst , Mohamed Akrout , Tobias Prinz , Amine Mezghani , Gerhard Kramer

Message passing mechanism contributes to the success of GNNs in various applications, but also brings the oversquashing problem. Recent works combat oversquashing by improving the graph spectrums with rewiring techniques, disrupting the…

Machine Learning · Computer Science 2024-03-19 Haiquan Qiu , Yatao Bian , Quanming Yao

Approximate message passing (AMP) algorithms are devised under the Gaussianity assumption of the measurement noise vector. In this work, we relax this assumption within the vector AMP (VAMP) framework to arbitrary independent and…

Information Theory · Computer Science 2024-02-07 Mohamed Akrout , Tiancheng Gao , Faouzi Bellili , Amine Mezghani